Magma V2.19-8 Tue Aug 20 2013 23:47:23 on localhost [Seed = 2362107587] Type ? for help. Type -D to quit. Loading file "L10a40__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a40 geometric_solution 10.84792502 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 -1 -1 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728735631176 0.816162345557 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391288106906 0.681739310090 0 0 4 6 3012 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 0 1 0 2 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366719499039 1.103361446972 7 4 6 0 0132 1230 1230 0132 1 1 1 1 0 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 1 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688337895684 0.533512968097 1 1 3 2 2031 0132 3012 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366719499039 1.103361446972 7 8 1 6 2103 0132 0132 0321 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712812696648 0.543806085816 9 5 2 3 0132 0321 0132 3012 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.727601970672 0.746741637013 3 10 5 9 0132 0132 2103 3201 1 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520512993813 1.484081518296 10 5 11 10 2310 0132 0132 3120 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530360779919 0.585416163386 6 7 11 11 0132 2310 1302 0321 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 0 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236518640045 0.857060745738 8 7 8 11 3120 0132 3201 3012 1 1 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612815643204 0.264047505366 9 9 10 8 2031 0321 1230 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236518640045 0.857060745738 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0011_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_11']), 'c_1100_3' : negation(d['c_0011_11']), 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_4, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 97995959/303102*c_0101_8^5 - 71779/33678*c_0101_8^4 - 31234441/151551*c_0101_8^3 + 12734371/303102*c_0101_8^2 - 3146323/151551*c_0101_8 + 2327906/151551, c_0011_0 - 1, c_0011_10 - 13514/1871*c_0101_8^5 + 24226/1871*c_0101_8^4 - 17414/1871*c_0101_8^3 + 16980/1871*c_0101_8^2 - 5546/1871*c_0101_8 + 1565/1871, c_0011_11 + 13514/1871*c_0101_8^5 - 24226/1871*c_0101_8^4 + 17414/1871*c_0101_8^3 - 16980/1871*c_0101_8^2 + 5546/1871*c_0101_8 - 1565/1871, c_0011_5 - 16559/1871*c_0101_8^5 + 110/1871*c_0101_8^4 - 5366/1871*c_0101_8^3 + 1036/1871*c_0101_8^2 + 1660/1871*c_0101_8 - 656/1871, c_0011_6 - 33263/1871*c_0101_8^5 + 27493/1871*c_0101_8^4 - 32343/1871*c_0101_8^3 + 21181/1871*c_0101_8^2 - 8632/1871*c_0101_8 + 3037/1871, c_0101_0 - 1, c_0101_10 - 1247/1871*c_0101_8^5 + 6660/1871*c_0101_8^4 - 6987/1871*c_0101_8^3 + 8296/1871*c_0101_8^2 - 3250/1871*c_0101_8 + 1104/1871, c_0101_2 - 1, c_0101_3 + 19749/1871*c_0101_8^5 - 3267/1871*c_0101_8^4 + 14929/1871*c_0101_8^3 - 4201/1871*c_0101_8^2 + 3086/1871*c_0101_8 + 399/1871, c_0101_4 + 13514/1871*c_0101_8^5 - 24226/1871*c_0101_8^4 + 17414/1871*c_0101_8^3 - 16980/1871*c_0101_8^2 + 5546/1871*c_0101_8 + 306/1871, c_0101_8^6 - 20/29*c_0101_8^5 + c_0101_8^4 - 18/29*c_0101_8^3 + 9/29*c_0101_8^2 - 3/29*c_0101_8 + 1/29, c_1001_3 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_4, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 13985900304201/150774031360*c_0101_8^6 + 17568255633051/98003120384*c_0101_8^5 + 134441641781283/1960062407680*c_0101_8^4 - 787286174003191/980031203840*c_0101_8^3 - 1569868324637833/1960062407680*c_0101_8^2 - 719374198992949/1960062407680*c_0101_8 - 451623536480969/1960062407680, c_0011_0 - 1, c_0011_10 + 12334595/29448053*c_0101_8^6 - 16709194/29448053*c_0101_8^5 - 29849559/29448053*c_0101_8^4 + 118753504/29448053*c_0101_8^3 + 153096179/29448053*c_0101_8^2 + 70880741/29448053*c_0101_8 + 29522940/29448053, c_0011_11 - 12334595/29448053*c_0101_8^6 + 16709194/29448053*c_0101_8^5 + 29849559/29448053*c_0101_8^4 - 118753504/29448053*c_0101_8^3 - 153096179/29448053*c_0101_8^2 - 70880741/29448053*c_0101_8 - 29522940/29448053, c_0011_5 - 11476946/29448053*c_0101_8^6 + 23888443/29448053*c_0101_8^5 + 9860752/29448053*c_0101_8^4 - 114349662/29448053*c_0101_8^3 - 77312710/29448053*c_0101_8^2 - 11417614/29448053*c_0101_8 - 13581554/29448053, c_0011_6 - 33104097/29448053*c_0101_8^6 + 71159977/29448053*c_0101_8^5 + 10060272/29448053*c_0101_8^4 - 286940329/29448053*c_0101_8^3 - 224576276/29448053*c_0101_8^2 - 70559697/29448053*c_0101_8 - 25677400/29448053, c_0101_0 - 1, c_0101_10 + 22201062/29448053*c_0101_8^6 - 52355295/29448053*c_0101_8^5 + 12011610/29448053*c_0101_8^4 + 173837817/29448053*c_0101_8^3 + 131681698/29448053*c_0101_8^2 + 65384076/29448053*c_0101_8 + 27338550/29448053, c_0101_2 + 1, c_0101_3 - 20769502/29448053*c_0101_8^6 + 54450783/29448053*c_0101_8^5 - 19789287/29448053*c_0101_8^4 - 168186825/29448053*c_0101_8^3 - 71480097/29448053*c_0101_8^2 + 321044/29448053*c_0101_8 - 25602513/29448053, c_0101_4 - 12334595/29448053*c_0101_8^6 + 16709194/29448053*c_0101_8^5 + 29849559/29448053*c_0101_8^4 - 118753504/29448053*c_0101_8^3 - 153096179/29448053*c_0101_8^2 - 70880741/29448053*c_0101_8 - 58970993/29448053, c_0101_8^7 - 19/13*c_0101_8^6 - 23/13*c_0101_8^5 + 111/13*c_0101_8^4 + 167/13*c_0101_8^3 + 90/13*c_0101_8^2 + 42/13*c_0101_8 + 1, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB